Josephine Yu : Tropical Implicitization and Mixed Fiber Polytopes

Posted by Roman Shvydkoy , part of the Departmental Colloquium.

At

Sept. 19, 2008, 3 p.m.

In

SEO 636

Abstract

We apply tropical geometry to study the image of a map defined by Laurent polynomials with generic coefficients. If this image is a hypersurface then our approach gives a construction of the Newton polytope of its defining equation. This construction can be used to compute mixed fiber polytopes, including secondary polytopes. No knowledge of tropical geometry will be assumed, and the talk will include an introduction to this subject. This is based on joint works with Bernd Sturmfels and Jenia Tevelev.

(The talk will be accessible to graduate students)